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For this discussion we are asked to use Cowling’s Rule to determine the approximate dosage ofmedicine for a child. Cowling’s rule is a formulathat is written as: d=D (a+1) 24Theformula is used to convert the given amount for adults into a child dosage. There are three variables that will be used in this expression; the letters in the expression create a literal equationbecause the variables represent known values. a=child’s ageD=adult dosed=child’s doseUsing the formula provided d=D (a+1)24The expression I was given is an adult dose of 1000mg acetaminophen for an 8 year old child. I am required to find the correct dosage.d=D(a+1)/24Cowling’s given formula.d=1000mg(8+1)/24This is where I substituted1000mg for D and 8 for the variable a.d=1000mg(9)/24Here I added the numbers inside the parentheses to get nine.d=9000/24Multiplied 1000mg by 9d=375mgDivided 9000 by 24, which gave me the properdosage for an 8 year old child. The proper dosage for an 8 year old child using the given Cowling’s formulais 375mg. The next part of the discussion post is to determine the age of the child when given the approximate dosage for the child and the dosage of the adult. Using the same formulaI will solve the expression of a dosage of 600mg for adult and 250mg for a child. d=D(a+1)/24Cowling’s given formula250mg=600mg(a+1)/24Here I substituted 250mg for variable d, and 600mg for variable DNow that I have substituted for variables d and D it leaves a conditional equation. There will be only one value left to solvefor (a). 250mg(24)=600mg(a+1)/2424Now we must multiply both sides by 24 to get rid of the denominator 6000=600mg(a+1)Multiplied 250mg by 246000=600600 600Divided both sides of the expression by 600 to leave (a+1)10=(a+1)Divided 6000 by 600 equaling 10mg10-1=a-1Subtract both sides by 19=aSolvedfor a. The dosage is meant for a nine year old child. Based on the information given of 600mg adult dose and 250mg child dose the child’s age is 9 or older